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382114096 = 247133741173
BaseRepresentation
bin10110110001101…
…001100100110000
3222122000101222221
4112301221210300
51240310122341
6101530010424
712316626160
oct2661514460
9878011887
10382114096
11186769a81
12a7b76a14
136121b520
1438a6a5a0
152382ded1
hex16c69930

382114096 has 160 divisors (see below), whose sum is σ = 964188288. Its totient is φ = 142663680.

The previous prime is 382114079. The next prime is 382114123. The reversal of 382114096 is 690411283.

It is a super-2 number, since 2×3821140962 = 292022364723794432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208666 + ... + 2208838.

Almost surely, 2382114096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482094144).

382114096 is an abundant number, since it is smaller than the sum of its proper divisors (582074192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382114096 is a wasteful number, since it uses less digits than its factorization.

382114096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 382114096 is about 19547.7388973763. The cubic root of 382114096 is about 725.6563828101.

The spelling of 382114096 in words is "three hundred eighty-two million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 41 52 56 74 82 91 104 112 148 164 173 182 208 259 287 296 328 346 364 481 518 533 574 592 656 692 728 962 1036 1066 1148 1211 1384 1456 1517 1924 2072 2132 2249 2296 2422 2768 3034 3367 3731 3848 4144 4264 4498 4592 4844 6068 6401 6734 7093 7462 7696 8528 8996 9688 10619 12136 12802 13468 14186 14924 15743 17992 19376 19721 21238 24272 25604 26936 28372 29848 31486 35984 39442 42476 44807 49651 51208 53872 56744 59696 62972 78884 83213 84952 89614 92209 99302 102416 113488 125944 138047 157768 166426 169904 179228 184418 198604 251888 262441 276094 315536 332852 358456 368836 397208 524882 552188 582491 645463 665704 716912 737672 794416 1049764 1104376 1164982 1290926 1331408 1475344 1837087 2099528 2208752 2329964 2581852 3411733 3674174 4199056 4659928 5163704 6823466 7348348 9319856 10327408 13646932 14696696 23882131 27293864 29393392 47764262 54587728 95528524 191057048 382114096